{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# This script is used for the online course \"资金流入流出\" on Tianchi platform\n",
    "\n",
    "                                                                           Author: Chuan-yu Xue\n",
    "                                                                           Email: cs_xcy@126.com"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import sklearn as skr\n",
    "import numpy as np\n",
    "import datetime\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "from dateutil.relativedelta import relativedelta\n",
    "from typing import *\n",
    "import random\n",
    "from sklearn.metrics import mean_squared_error\n",
    "from sklearn.metrics import mean_absolute_error\n",
    "from sklearn.linear_model import LinearRegression\n",
    "from sklearn.tree import DecisionTreeRegressor\n",
    "from sklearn.ensemble import RandomForestRegressor\n",
    "from sklearn.ensemble import GradientBoostingRegressor\n",
    "from sklearn.neural_network import MLPRegressor\n",
    "import xgboost as xgb\n",
    "\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "np.random.seed(1024)\n",
    "\n",
    "labels = ['total_purchase_amt', 'total_redeem_amt']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 分割数据集\n",
    "\n",
    "def split_data_underline(data: pd.DataFrame)->pd.DataFrame:\n",
    "    trainset = data[(datetime.date(2014,4,1) <= data['date']) & (data['date'] < datetime.date(2014,8,1))]\n",
    "    testset = data[(datetime.date(2014,8,1) <= data['date']) & (data['date'] < datetime.date(2014,9,1))]\n",
    "    return trainset, testset\n",
    "\n",
    "def split_data_online(data: pd.DataFrame)->pd.DataFrame:\n",
    "    trainset = data[(datetime.date(2014,4,1) <= data['date']) & (data['date'] < datetime.date(2014,9,1))]\n",
    "    testset = data[(datetime.date(2014,9,1) <= data['date']) & (data['date'] < datetime.date(2014,10,1))]\n",
    "    return trainset, testset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 定义评价函数\n",
    "\n",
    "def AE(y: Iterable, yhat: Iterable)->Iterable:\n",
    "    return np.abs(y - yhat) / np.abs(y)\n",
    "\n",
    "def total_AE(purchasehat: Iterable, redeemhat: Iterable, purchase: Iterable, redeem: Iterable, h: int = 0.3)->Iterable:\n",
    "    return sum(map(lambda x : np.exp(-x/h)*10, AE(purchase, purchasehat))) * 0.45 + sum(map(lambda x : np.exp(-x/h)*10, AE(redeem, redeemhat))) * 0.55"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 在不同的时间段对模型进行验证\n",
    "\n",
    "def week_evalution_single(data: pd.DataFrame, model: object, types: str)->pd.DataFrame:\n",
    "    results = []\n",
    "    a_month = relativedelta(months=1)\n",
    "    for i in [datetime.date(2014, 8, 1), datetime.date(2014, 7, 25), datetime.date(2014, 7, 18), datetime.date(2014, 7, 11), \n",
    "          datetime.date(2014, 7, 4), datetime.date(2014, 6, 27), datetime.date(2014, 6,20)]:\n",
    "        trainset = data[(i - 4 * a_month <= data['date']) & (data['date'] < i)]\n",
    "        testset = data[(i <= data['date']) & (data['date'] < i + a_month)]\n",
    "        if len(testset) == 0 or len(trainset) == 0:\n",
    "            i = datetime.date(2014, 4, 20)\n",
    "            trainset = data[(i - 4 * a_month <= data['date']) & (data['date'] < i)]\n",
    "            testset = data[(i <= data['date']) & (data['date'] < datetime.date(2014, 9, 1))]\n",
    "        feature = [x for x in trainset.columns if x not in ['total_purchase_amt','total_redeem_amt','date']]\n",
    "        \n",
    "        model.fit(X=trainset[feature], y=trainset['total_' + types + '_amt'])\n",
    "        result_lr = model.predict(testset[feature])\n",
    "        \n",
    "        h = 0.3\n",
    "        results.append(sum(AE(testset['total_' + types + '_amt'], result_lr).apply(lambda x : np.exp(-x/h))*10))\n",
    "    return pd.DataFrame(results)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 输出评级表格\n",
    "\n",
    "def draw_eva_table(df: pd.DataFrame)->pd.DataFrame:\n",
    "    rest = df.copy()\n",
    "    rest['interval'] = [datetime.date(2014, 8, 1), datetime.date(2014, 7, 25), datetime.date(2014, 7, 18), datetime.date(2014, 7, 11), \n",
    "          datetime.date(2014, 7, 4), datetime.date(2014, 6, 27), datetime.date(2014, 6,20)]\n",
    "    return rest"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 对生成结果进行可视化\n",
    "\n",
    "def visual(result_purchase_lr: Iterable, result_redeem_lr: Iterable, testset: pd.DataFrame)->None:\n",
    "    fig = plt.figure(figsize=(10,4))\n",
    "    plt.plot(testset['date'], result_purchase_lr, label='predicted_purchase')\n",
    "    plt.plot(testset['date'], testset['total_purchase_amt'], label='real_redeem')\n",
    "\n",
    "    plt.legend(loc='best')\n",
    "    plt.title(\"The distribution of real and predict purchase\")\n",
    "    plt.xlabel(\"Time\")\n",
    "    plt.ylabel(\"Amount\")\n",
    "    plt.show()\n",
    "    fig = plt.figure(figsize=(10,4))\n",
    "    sns.barplot(testset['date'].dt.day ,result_purchase_lr - testset['total_purchase_amt'])\n",
    "\n",
    "    fig = plt.figure(figsize=(10,4))\n",
    "    plt.plot(testset['date'], result_redeem_lr, label='predicted_redeem')\n",
    "    plt.plot(testset['date'], testset['total_redeem_amt'], label='real_redeem')\n",
    "\n",
    "    plt.legend(loc='best')\n",
    "    plt.title(\"The distribution of real and predict redeem\")\n",
    "    plt.xlabel(\"Time\")\n",
    "    plt.ylabel(\"Amount\")\n",
    "    plt.show()\n",
    "    fig = plt.figure(figsize=(10,4))\n",
    "    sns.barplot(testset['date'].dt.day ,result_redeem_lr - testset['total_redeem_amt'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 定义提取线下最好效果特征的函数\n",
    "\n",
    "def feature_extract(data: pd.DataFrame, model: object, types: str)->Tuple[List[str], List[float]]:\n",
    "    features = [x for x in data.columns if x not in labels + ['date']]\n",
    "    random.shuffle(features)\n",
    "    results = []\n",
    "    score = -1\n",
    "    for i in features:\n",
    "        score_update = np.mean(week_evalution_single(data[results + [i] + labels + ['date']], model, types))\n",
    "        if score_update > score:\n",
    "            score = score_update\n",
    "            results.append(i)\n",
    "    return results, score\n",
    "    \n",
    "def robust_feature_extract(data: pd.DataFrame, model: object, types: str):\n",
    "    results = []\n",
    "    score = -1\n",
    "    for i in range(10):\n",
    "        results_update, score_update = feature_extract(data, model, types)\n",
    "        if score_update > score:\n",
    "            score = score_update\n",
    "            results = results_update\n",
    "        print(results_update, score_update)\n",
    "    return results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 定义AIC,BIC评价指标\n",
    "\n",
    "def AIC(L: Iterable, delta: float, n_features: int):\n",
    "    return L * np.log10(delta) + 2 * (n_features + 1)\n",
    "def AIC(L: Iterable, delta: float, n_features: int):\n",
    "    return L * np.log10(delta) + (n_features + 1) * np.log10(L)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 使用AIC指标融合模型\n",
    "\n",
    "def feature_extract_AIC(data: pd.DataFrame, model: object, types: str)->Tuple[List[str], float]:\n",
    "    features = [x for x in data.columns if x not in labels + ['date']]\n",
    "    random.shuffle(features)\n",
    "    results = []\n",
    "    test_score = 1e9\n",
    "    train_score = 0\n",
    "    for i in features:\n",
    "        test_score_update = np.mean(week_evalution_single(data[results + [i] + labels + ['date']], model, types)[0])\n",
    "        if test_score_update < test_score:\n",
    "            test_score = test_score_update\n",
    "            results.append(i)\n",
    "            \n",
    "    trainset, testset = split_data_underline(data)\n",
    "    feature = results\n",
    "    model.fit(X=trainset[feature], y=trainset['total_' + types + '_amt'])\n",
    "    train_result_lr = model.predict(trainset[feature])\n",
    "    delta = mean_squared_error(train_result_lr, trainset['total_' + types + '_amt'])\n",
    "    #delta = np.sum(AE(trainset['total_' + types + '_amt'], train_result_lr).apply(lambda x : np.exp(-x/0.1))*10)\n",
    "    return results, AIC(len(trainset), delta, len(feature))\n",
    "\n",
    "def multi_model(data: pd.DataFrame, model: object, types: str)->Tuple[List[List[str]], float]:\n",
    "    features = []\n",
    "    weights = []\n",
    "    for i in range(100):\n",
    "        results_update, score_update = feature_extract_AIC(data, model, types)\n",
    "        features.append(results_update)\n",
    "        weights.append(score_update)\n",
    "    avg = np.mean(weights)\n",
    "    weights = [x - avg for x in weights]\n",
    "    weights = [np.power((-1 * x / 2), 10) for x in weights]\n",
    "    summ = np.sum(weights)\n",
    "    weights = [x / summ for x in weights]\n",
    "    return features, weights"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 生成线上结果\n",
    "\n",
    "def generate_online_result(df: pd.DataFrame, feature: Iterable, model = LinearRegression(), target:str = 'total_purchase_amt')->Iterable:\n",
    "    trainset, testset = split_data_online(df)\n",
    "    model.fit(X=trainset[feature], y=trainset[target])\n",
    "    result_purchase_lr = model.predict(testset[feature])\n",
    "    return result_purchase_lr"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "def generate_under_result(df: pd.DataFrame, feature: Iterable, model = LinearRegression(), target:str = 'total_purchase_amt')->Iterable:\n",
    "    trainset, testset = split_data_underline(df)\n",
    "    model.fit(X=trainset[feature], y=trainset[target])\n",
    "    result_purchase_lr = model.predict(testset[feature])\n",
    "    return result_purchase_lr"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 生成线上提交的格式\n",
    "\n",
    "def normalize_upload_file(result_purchase_lr: Iterable, result_redeem_lr: Iterable, testset: pd.DataFrame)->pd.DataFrame:\n",
    "    testset['total_purchase_amt'] = result_purchase_lr\n",
    "    testset['total_redeem_amt'] = result_redeem_lr\n",
    "    online_upload = testset[['date','total_purchase_amt','total_redeem_amt']]\n",
    "    online_upload['date'] = online_upload['date'].astype(str)\n",
    "    online_upload['date'] = online_upload['date'].str.replace('-','')\n",
    "    return online_upload"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 线上结果可视化\n",
    "\n",
    "def draw_result(result_purchase_lr: Iterable, result_redeem_lr: Iterable, testset: pd.DataFrame):\n",
    "    fig = plt.figure(figsize=(10,4))\n",
    "    plt.plot(testset['date'].dt.day, result_purchase_lr, label='online_purchase')\n",
    "    plt.plot(testset['date'].dt.day, result_redeem_lr, label='online_redeem')\n",
    "\n",
    "    plt.legend(loc='best')\n",
    "    plt.title(\"The predict values\")\n",
    "    plt.xlabel(\"Time\")\n",
    "    plt.ylabel(\"Amount\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 重载DataFrame加法\n",
    "\n",
    "def add_two_df(df1, df2, features = None, left_a = 0.45, right_a = 0.55):\n",
    "    data = df1.copy()\n",
    "    if not features:\n",
    "        features = [x for x in data.columns if x != 'interval']\n",
    "    for i in features:\n",
    "        data[i] = (data[i] * left_a + df2[i] * right_a)\n",
    "    return data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 重载DataFrame乘法\n",
    "\n",
    "def scale_df(df1, features = None, eta = 1):\n",
    "    data = df1.copy()\n",
    "    if not features:\n",
    "        features = [x for x in data.columns if x != 'interval']\n",
    "    for i in features:\n",
    "        data[i] *= eta\n",
    "    return data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 建模测试"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 一、仅使用IS特征"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = pd.read_csv('Dataset/feature0522.csv')\n",
    "data['date'] = pd.to_datetime(data['date'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "trainset, testset = split_data_underline(data)\n",
    "result_purchase_lr = generate_under_result(data, [x for x in data.columns if x not in ['total_purchase_amt','total_redeem_amt','date']], target='total_purchase_amt')\n",
    "result_redeem_lr = generate_under_result(data, [x for x in data.columns if x not in ['total_purchase_amt','total_redeem_amt','date']], target='total_redeem_amt')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 在八月份预测结果"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "189.31445991054966"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "total_AE(result_purchase_lr, result_redeem_lr, testset['total_purchase_amt'], testset['total_redeem_amt'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 滑窗测试结果"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>0</th>\n",
       "      <th>interval</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>197.277321</td>\n",
       "      <td>2014-08-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>167.809363</td>\n",
       "      <td>2014-07-25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>162.569572</td>\n",
       "      <td>2014-07-18</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>159.214733</td>\n",
       "      <td>2014-07-11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>144.062633</td>\n",
       "      <td>2014-07-04</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>142.332339</td>\n",
       "      <td>2014-06-27</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>126.240393</td>\n",
       "      <td>2014-06-20</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            0    interval\n",
       "0  197.277321  2014-08-01\n",
       "1  167.809363  2014-07-25\n",
       "2  162.569572  2014-07-18\n",
       "3  159.214733  2014-07-11\n",
       "4  144.062633  2014-07-04\n",
       "5  142.332339  2014-06-27\n",
       "6  126.240393  2014-06-20"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "draw_eva_table(week_evalution_single(data, model=LinearRegression(), types = 'purchase'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
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       "      <th></th>\n",
       "      <th>0</th>\n",
       "      <th>interval</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>182.799392</td>\n",
       "      <td>2014-08-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>172.093440</td>\n",
       "      <td>2014-07-25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>181.210211</td>\n",
       "      <td>2014-07-18</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>168.488252</td>\n",
       "      <td>2014-07-11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>175.160622</td>\n",
       "      <td>2014-07-04</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>174.465494</td>\n",
       "      <td>2014-06-27</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>175.201245</td>\n",
       "      <td>2014-06-20</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            0    interval\n",
       "0  182.799392  2014-08-01\n",
       "1  172.093440  2014-07-25\n",
       "2  181.210211  2014-07-18\n",
       "3  168.488252  2014-07-11\n",
       "4  175.160622  2014-07-04\n",
       "5  174.465494  2014-06-27\n",
       "6  175.201245  2014-06-20"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "draw_eva_table(week_evalution_single(data, LinearRegression(), 'redeem'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 八月份预测图与真实图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "visual(result_purchase_lr, result_redeem_lr, testset)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "result_purchase_lr = generate_online_result(data, [x for x in trainset.columns if x not in ['total_purchase_amt','total_redeem_amt','date']], LinearRegression(),'total_purchase_amt')\n",
    "result_redeem_lr = generate_online_result(data, [x for x in trainset.columns if x not in ['total_purchase_amt','total_redeem_amt','date']], LinearRegression(),'total_redeem_amt')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 九月份预测效果图(线性)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "trainset, testset = split_data_online(data)\n",
    "draw_result(result_purchase_lr, result_redeem_lr, testset)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "normalize_upload_file(result_purchase_lr, result_redeem_lr, testset).to_csv('20190612_only_is.csv',index=False,header=None)"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "线上预测效果：\n",
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 二、多模型对比"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "def multi_model_eva(data, types:str = 'purchase'):\n",
    "    results = pd.DataFrame()\n",
    "    for model in [LinearRegression(), DecisionTreeRegressor(), RandomForestRegressor(), GradientBoostingRegressor(), MLPRegressor(solver='lbfgs'), xgb.XGBRegressor(objective='reg:squarederror')]:\n",
    "        if results.empty:\n",
    "            results = draw_eva_table(week_evalution_single(data, model, types)).rename(columns={0: repr(model).split('(')[0]})\n",
    "        else:\n",
    "            results = pd.merge(results, \\\n",
    "                               draw_eva_table(week_evalution_single(data, model, types)).rename(columns={0: repr(model).split('(')[0]}), on='interval')\n",
    "    results = results[['interval'] + [x for x in results.columns if x != 'interval']]\n",
    "    return results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>interval</th>\n",
       "      <th>LinearRegression</th>\n",
       "      <th>DecisionTreeRegressor</th>\n",
       "      <th>RandomForestRegressor</th>\n",
       "      <th>GradientBoostingRegressor</th>\n",
       "      <th>MLPRegressor</th>\n",
       "      <th>XGBRegressor</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2014-08-01</td>\n",
       "      <td>189.314460</td>\n",
       "      <td>188.743896</td>\n",
       "      <td>187.715746</td>\n",
       "      <td>188.808471</td>\n",
       "      <td>188.744889</td>\n",
       "      <td>189.283918</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2014-07-25</td>\n",
       "      <td>170.165605</td>\n",
       "      <td>171.123954</td>\n",
       "      <td>172.599158</td>\n",
       "      <td>171.155189</td>\n",
       "      <td>169.383859</td>\n",
       "      <td>171.483486</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2014-07-18</td>\n",
       "      <td>172.821924</td>\n",
       "      <td>175.689847</td>\n",
       "      <td>176.236757</td>\n",
       "      <td>175.700583</td>\n",
       "      <td>174.238004</td>\n",
       "      <td>175.781053</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2014-07-11</td>\n",
       "      <td>164.315168</td>\n",
       "      <td>167.489060</td>\n",
       "      <td>168.552495</td>\n",
       "      <td>167.497959</td>\n",
       "      <td>164.755084</td>\n",
       "      <td>167.463230</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2014-07-04</td>\n",
       "      <td>161.166527</td>\n",
       "      <td>164.436476</td>\n",
       "      <td>163.818487</td>\n",
       "      <td>164.457772</td>\n",
       "      <td>162.257028</td>\n",
       "      <td>164.322969</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>2014-06-27</td>\n",
       "      <td>160.005574</td>\n",
       "      <td>163.849417</td>\n",
       "      <td>162.010456</td>\n",
       "      <td>163.820346</td>\n",
       "      <td>160.703909</td>\n",
       "      <td>163.713086</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>2014-06-20</td>\n",
       "      <td>153.168861</td>\n",
       "      <td>156.563393</td>\n",
       "      <td>157.063395</td>\n",
       "      <td>156.511847</td>\n",
       "      <td>156.539468</td>\n",
       "      <td>156.445360</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     interval  LinearRegression  DecisionTreeRegressor  RandomForestRegressor  \\\n",
       "0  2014-08-01        189.314460             188.743896             187.715746   \n",
       "1  2014-07-25        170.165605             171.123954             172.599158   \n",
       "2  2014-07-18        172.821924             175.689847             176.236757   \n",
       "3  2014-07-11        164.315168             167.489060             168.552495   \n",
       "4  2014-07-04        161.166527             164.436476             163.818487   \n",
       "5  2014-06-27        160.005574             163.849417             162.010456   \n",
       "6  2014-06-20        153.168861             156.563393             157.063395   \n",
       "\n",
       "   GradientBoostingRegressor  MLPRegressor  XGBRegressor  \n",
       "0                 188.808471    188.744889    189.283918  \n",
       "1                 171.155189    169.383859    171.483486  \n",
       "2                 175.700583    174.238004    175.781053  \n",
       "3                 167.497959    164.755084    167.463230  \n",
       "4                 164.457772    162.257028    164.322969  \n",
       "5                 163.820346    160.703909    163.713086  \n",
       "6                 156.511847    156.539468    156.445360  "
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "add_two_df(multi_model_eva(data, 'purchase'), multi_model_eva(data, 'redeem'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 三、劣汰后特征对比"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "data_purchase = pd.read_csv('Feature/purchase_feature_droped_0614.csv')\n",
    "data_purchase['date'] = pd.to_datetime(data_purchase['date'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "data_redeem = pd.read_csv('Feature/redeem_feature_droped_0614.csv')\n",
    "data_redeem['date'] = pd.to_datetime(data_redeem['date'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "trainset_purchase, testset_purchase = split_data_underline(data_purchase)\n",
    "result_purchase_lr = generate_under_result(data_purchase, [x for x in data_purchase.columns\n",
    "                                                           if x not in ['total_purchase_amt','total_redeem_amt','date']], \n",
    "                                           target='total_purchase_amt')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "trainset_redeem, testset_redeem = split_data_underline(data_redeem)\n",
    "result_redeem_lr = generate_under_result(data_redeem, [x for x in data_redeem.columns\n",
    "                                                           if x not in ['total_purchase_amt','total_redeem_amt','date']], \n",
    "                                           target='total_redeem_amt')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "189.90232809854422"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "total_AE(result_purchase_lr, result_redeem_lr, testset_purchase['total_purchase_amt'], testset_redeem['total_redeem_amt'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>interval</th>\n",
       "      <th>LinearRegression</th>\n",
       "      <th>DecisionTreeRegressor</th>\n",
       "      <th>RandomForestRegressor</th>\n",
       "      <th>GradientBoostingRegressor</th>\n",
       "      <th>MLPRegressor</th>\n",
       "      <th>XGBRegressor</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2014-08-01</td>\n",
       "      <td>189.902328</td>\n",
       "      <td>167.901814</td>\n",
       "      <td>170.798802</td>\n",
       "      <td>177.216664</td>\n",
       "      <td>186.847975</td>\n",
       "      <td>178.177163</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2014-07-25</td>\n",
       "      <td>177.650078</td>\n",
       "      <td>167.752839</td>\n",
       "      <td>177.877918</td>\n",
       "      <td>169.722728</td>\n",
       "      <td>180.481298</td>\n",
       "      <td>171.346027</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2014-07-18</td>\n",
       "      <td>182.113181</td>\n",
       "      <td>184.259270</td>\n",
       "      <td>176.164814</td>\n",
       "      <td>175.773043</td>\n",
       "      <td>180.043535</td>\n",
       "      <td>177.470257</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2014-07-11</td>\n",
       "      <td>182.092305</td>\n",
       "      <td>178.165773</td>\n",
       "      <td>184.042765</td>\n",
       "      <td>178.501400</td>\n",
       "      <td>179.125274</td>\n",
       "      <td>181.784144</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2014-07-04</td>\n",
       "      <td>181.210428</td>\n",
       "      <td>172.354412</td>\n",
       "      <td>164.208141</td>\n",
       "      <td>170.061840</td>\n",
       "      <td>176.928324</td>\n",
       "      <td>165.812636</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>2014-06-27</td>\n",
       "      <td>185.309340</td>\n",
       "      <td>178.630136</td>\n",
       "      <td>182.713216</td>\n",
       "      <td>189.882640</td>\n",
       "      <td>177.631714</td>\n",
       "      <td>186.246480</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>2014-06-20</td>\n",
       "      <td>169.342125</td>\n",
       "      <td>168.941842</td>\n",
       "      <td>173.833505</td>\n",
       "      <td>173.421845</td>\n",
       "      <td>169.514554</td>\n",
       "      <td>172.578523</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     interval  LinearRegression  DecisionTreeRegressor  RandomForestRegressor  \\\n",
       "0  2014-08-01        189.902328             167.901814             170.798802   \n",
       "1  2014-07-25        177.650078             167.752839             177.877918   \n",
       "2  2014-07-18        182.113181             184.259270             176.164814   \n",
       "3  2014-07-11        182.092305             178.165773             184.042765   \n",
       "4  2014-07-04        181.210428             172.354412             164.208141   \n",
       "5  2014-06-27        185.309340             178.630136             182.713216   \n",
       "6  2014-06-20        169.342125             168.941842             173.833505   \n",
       "\n",
       "   GradientBoostingRegressor  MLPRegressor  XGBRegressor  \n",
       "0                 177.216664    186.847975    178.177163  \n",
       "1                 169.722728    180.481298    171.346027  \n",
       "2                 175.773043    180.043535    177.470257  \n",
       "3                 178.501400    179.125274    181.784144  \n",
       "4                 170.061840    176.928324    165.812636  \n",
       "5                 189.882640    177.631714    186.246480  \n",
       "6                 173.421845    169.514554    172.578523  "
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "add_two_df(multi_model_eva(data_purchase, 'purchase'), multi_model_eva(data_redeem, 'redeem'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 八月份预测效果(线性)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "trainset, testset = split_data_underline(data)\n",
    "visual(result_purchase_lr, result_redeem_lr, testset)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "result_purchase_lr = generate_online_result(data_purchase, [x for x in data_purchase.columns if x not in ['total_purchase_amt','total_redeem_amt','date']], LinearRegression(),'total_purchase_amt')\n",
    "result_redeem_lr = generate_online_result(data_redeem, [x for x in data_redeem.columns if x not in ['total_purchase_amt','total_redeem_amt','date']], LinearRegression(),'total_redeem_amt')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 生成线上效果（线性）\n",
    "可以看到28号很高（work in Sunday）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "trainset, testset = split_data_online(data)\n",
    "draw_result(result_purchase_lr, result_redeem_lr, testset)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "purchase feature\n",
    "\n",
    "> 'dis_to_nowork', 'dis_to_work', 'dis_from_work', 'purchase_weekdayrate',\n",
    "       'redeem_dayrate', 'weekday_onehot_5', 'weekday_onehot_6',\n",
    "       'dis_from_nowork', 'is_holiday', 'weekday_onehot_1', 'weekday_onehot_2',\n",
    "       'weekday_onehot_0', 'dis_from_middleofweek', 'dis_from_holiendday',\n",
    "       'weekday_onehot_3', 'is_lastday_of_holiday', 'is_firstday_of_holiday',\n",
    "       'weekday_onehot_4', 'is_worked_yestday', 'is_second_week',\n",
    "       'is_third_week', 'dis_from_startofmonth', 'dis_from_holiday',\n",
    "       'dis_to_nowork%%%%dis_from_purchase_peak', 'total_purchase_amt',\n",
    "       'total_redeem_amt', 'date'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Redeem feature\n",
    "\n",
    ">'is_work', 'dis_from_redeem_valley', 'purchase_weekdayrate',\n",
    "       'redeem_dayrate', 'weekday_onehot_5', 'is_gonna_work_tomorrow',\n",
    "       'is_holiday', 'dis_from_nowork', 'weekday_onehot_0', 'weekday_onehot_1',\n",
    "       'is_firstday_of_holiday', 'weekday_onehot_2', 'is_lastday_of_holiday',\n",
    "       'dis_from_holiday', 'is_work_on_sunday', 'is_firstday_of_work',\n",
    "       'is_secday_of_month', 'dis_from_holiendday',\n",
    "       'dis_from_redeem_valley%%%%dis_from_redeem_peak', 'total_purchase_amt',\n",
    "       'total_redeem_amt', 'date'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "normalize_upload_file(result_purchase_lr, result_redeem_lr, testset).to_csv('20190614_droped.csv',index=False,header=None)"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 生成线上效果（MLP）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "result_purchase_lr = generate_online_result(data_purchase, [x for x in data_purchase.columns \n",
    "                                                            if x not in ['total_purchase_amt','total_redeem_amt','date']], \n",
    "                                            MLPRegressor(solver='lbfgs'),'total_purchase_amt')\n",
    "result_redeem_lr = generate_online_result(data_redeem, [x for x in data_redeem.columns \n",
    "                                                        if x not in ['total_purchase_amt','total_redeem_amt','date']], \n",
    "                                          MLPRegressor(solver='lbfgs'),'total_redeem_amt')\n",
    "trainset, testset = split_data_online(data)\n",
    "draw_result(result_purchase_lr, result_redeem_lr, testset)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "normalize_upload_file(result_purchase_lr, result_redeem_lr, testset).to_csv('20190614_droped_MLP.csv',index=False,header=None)"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 生成线上效果（Xgboost）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "result_purchase_lr = generate_online_result(data_purchase, [x for x in data_purchase.columns \n",
    "                                                            if x not in ['total_purchase_amt','total_redeem_amt','date']], \n",
    "                                            xgb.XGBRegressor(objective='reg:squarederror'),'total_purchase_amt')\n",
    "result_redeem_lr = generate_online_result(data_redeem, [x for x in data_redeem.columns \n",
    "                                                        if x not in ['total_purchase_amt','total_redeem_amt','date']], \n",
    "                                          xgb.XGBRegressor(objective='reg:squarederror'),'total_redeem_amt')\n",
    "trainset, testset = split_data_online(data)\n",
    "draw_result(result_purchase_lr, result_redeem_lr, testset)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [],
   "source": [
    "normalize_upload_file(result_purchase_lr, result_redeem_lr, testset).to_csv('20190615_droped_XGB.csv',index=False,header=None)"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 四、AIC模型平均"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "purchase_features, purchase_weight = multi_model(data_purchase, model=LinearRegression(), types = 'purchase')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [],
   "source": [
    "redeem_features, redeem_weight = multi_model(data_redeem, model=LinearRegression(), types = 'redeem')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [],
   "source": [
    "def eva_for_aic(data_purchase, purchase_features, purchase_weight):\n",
    "    results = pd.DataFrame()\n",
    "    for index, feature in enumerate(purchase_features):\n",
    "        if results.empty:\n",
    "            results = scale_df(multi_model_eva(data_purchase[['date'] + labels + feature], 'purchase'), \n",
    "                               eta = purchase_weight[index])\n",
    "        else:\n",
    "            results = add_two_df(results, multi_model_eva(data_purchase[['date'] + labels + feature], 'purchase')\n",
    "                                 , left_a = 1,\n",
    "                                 right_a = purchase_weight[index])\n",
    "    return results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>interval</th>\n",
       "      <th>LinearRegression</th>\n",
       "      <th>DecisionTreeRegressor</th>\n",
       "      <th>RandomForestRegressor</th>\n",
       "      <th>GradientBoostingRegressor</th>\n",
       "      <th>MLPRegressor</th>\n",
       "      <th>XGBRegressor</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2014-08-01</td>\n",
       "      <td>196.963095</td>\n",
       "      <td>183.792030</td>\n",
       "      <td>186.524287</td>\n",
       "      <td>190.406781</td>\n",
       "      <td>203.741264</td>\n",
       "      <td>191.603561</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2014-07-25</td>\n",
       "      <td>166.890259</td>\n",
       "      <td>162.282961</td>\n",
       "      <td>165.155036</td>\n",
       "      <td>167.600603</td>\n",
       "      <td>170.796653</td>\n",
       "      <td>168.847170</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2014-07-18</td>\n",
       "      <td>164.275651</td>\n",
       "      <td>164.099009</td>\n",
       "      <td>165.696601</td>\n",
       "      <td>165.439729</td>\n",
       "      <td>166.863106</td>\n",
       "      <td>166.027208</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2014-07-11</td>\n",
       "      <td>165.406218</td>\n",
       "      <td>173.410333</td>\n",
       "      <td>175.492379</td>\n",
       "      <td>174.605650</td>\n",
       "      <td>171.207335</td>\n",
       "      <td>172.707320</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2014-07-04</td>\n",
       "      <td>159.754349</td>\n",
       "      <td>159.385969</td>\n",
       "      <td>157.523226</td>\n",
       "      <td>159.920750</td>\n",
       "      <td>165.437567</td>\n",
       "      <td>159.528064</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>2014-06-27</td>\n",
       "      <td>170.536885</td>\n",
       "      <td>170.257129</td>\n",
       "      <td>172.330545</td>\n",
       "      <td>172.594357</td>\n",
       "      <td>173.168680</td>\n",
       "      <td>172.330513</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>2014-06-20</td>\n",
       "      <td>171.443469</td>\n",
       "      <td>162.639913</td>\n",
       "      <td>164.623205</td>\n",
       "      <td>164.944005</td>\n",
       "      <td>171.675562</td>\n",
       "      <td>166.762065</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     interval  LinearRegression  DecisionTreeRegressor  RandomForestRegressor  \\\n",
       "0  2014-08-01        196.963095             183.792030             186.524287   \n",
       "1  2014-07-25        166.890259             162.282961             165.155036   \n",
       "2  2014-07-18        164.275651             164.099009             165.696601   \n",
       "3  2014-07-11        165.406218             173.410333             175.492379   \n",
       "4  2014-07-04        159.754349             159.385969             157.523226   \n",
       "5  2014-06-27        170.536885             170.257129             172.330545   \n",
       "6  2014-06-20        171.443469             162.639913             164.623205   \n",
       "\n",
       "   GradientBoostingRegressor  MLPRegressor  XGBRegressor  \n",
       "0                 190.406781    203.741264    191.603561  \n",
       "1                 167.600603    170.796653    168.847170  \n",
       "2                 165.439729    166.863106    166.027208  \n",
       "3                 174.605650    171.207335    172.707320  \n",
       "4                 159.920750    165.437567    159.528064  \n",
       "5                 172.594357    173.168680    172.330513  \n",
       "6                 164.944005    171.675562    166.762065  "
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "add_two_df(eva_for_aic(data_purchase, purchase_features, purchase_weight), \n",
    "           eva_for_aic(data_redeem, redeem_features, redeem_weight))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 五、针对残差建模"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "data_purchase = pd.read_csv('Feature/residual_feature_purchase_0621.csv')\n",
    "data_purchase['date'] = pd.to_datetime(data_purchase['date'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [],
   "source": [
    "data_redeem = pd.read_csv('Feature/residual_feature_redeem_0621.csv')\n",
    "data_redeem['date'] = pd.to_datetime(data_redeem['date'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [],
   "source": [
    "base = pd.read_csv('Dataset/base.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [],
   "source": [
    "def generate_residual_result(data, base, model=LinearRegression(), types = 'purchase', split_time = datetime.date(2014,8,1)):\n",
    "    a_month = relativedelta(months=1)\n",
    "    trainset = data[(datetime.date(2014,4,1) <= data['date']) & (data['date'] < split_time)]\n",
    "    testset = data[(split_time <= data['date']) & (data['date'] < split_time + a_month)]\n",
    "    feature = [x for x in data_purchase.columns \n",
    "               if x not in ['total_purchase_amt','total_redeem_amt','date']]\n",
    "    model.fit(X=trainset[feature], y=trainset['total_' + types + '_amt'])\n",
    "    result_purchase_rate = model.predict(testset[feature])\n",
    "    \n",
    "    base['date'] = pd.to_datetime(base['date'], format= \"%Y%m%d\")\n",
    "    result_purchase_cycle = np.array(base[(base['date'] >= split_time)\n",
    "                                          &(base['date'] < split_time + a_month)]['total_'+types+'_predicted_by_cycle'])\n",
    "    result_purchase_residual =  result_purchase_rate * np.array(result_purchase_cycle)\n",
    "    return result_purchase_residual"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [],
   "source": [
    "def generate_evaluate_for_residual(model=LinearRegression()):\n",
    "    result = []\n",
    "    for i in [datetime.date(2014, 8, 1), datetime.date(2014, 7, 25), datetime.date(2014, 7, 18), datetime.date(2014, 7, 11), \n",
    "              datetime.date(2014, 7, 4), datetime.date(2014, 6, 27), datetime.date(2014, 6,20)]:\n",
    "        result_purchase_residual = generate_residual_result(data_purchase, base, model=model, types='purchase', split_time = i)\n",
    "        result_redeem_residual = generate_residual_result(data_purchase, base, model=model, types='redeem', split_time= i)\n",
    "        a_month = relativedelta(months=1)\n",
    "        testset = data[(data['date'] >= i) & (data['date'] < i + a_month)]\n",
    "        real_purchase = testset['total_purchase_amt']\n",
    "        real_redeem = testset['total_redeem_amt']\n",
    "        result.append(total_AE(result_purchase_residual, result_redeem_residual, real_purchase, real_redeem))\n",
    "    return pd.DataFrame(result)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [],
   "source": [
    "def multi_model_eva_for_residual():\n",
    "    results = pd.DataFrame()\n",
    "    for model in [LinearRegression(), DecisionTreeRegressor(), RandomForestRegressor(), GradientBoostingRegressor(), MLPRegressor(solver='lbfgs'), xgb.XGBRegressor(objective='reg:squarederror')]:\n",
    "        if results.empty:\n",
    "            results = draw_eva_table(generate_evaluate_for_residual(model)).rename(columns={0: repr(model).split('(')[0]})\n",
    "        else:\n",
    "            results = pd.merge(results, \\\n",
    "                               draw_eva_table(generate_evaluate_for_residual(model)).rename(columns={0: repr(model).split('(')[0]}))\n",
    "    results = results[['interval'] + [x for x in results.columns if x != 'interval']]\n",
    "    return results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [],
   "source": [
    "def generate_evaluate_for_cycle():\n",
    "    result = []\n",
    "    for i in [datetime.date(2014, 8, 1), datetime.date(2014, 7, 25), datetime.date(2014, 7, 18), datetime.date(2014, 7, 11), \n",
    "                  datetime.date(2014, 7, 4), datetime.date(2014, 6, 27), datetime.date(2014, 6,20)]:\n",
    "        a_month = relativedelta(months=1)\n",
    "        testset = base[(base['date'] >= i) & (base['date'] < i + a_month)].reset_index(drop=True)\n",
    "        result_purchase_residual = testset['total_purchase_predicted_by_cycle']\n",
    "        result_redeem_residual = testset['total_redeem_predicted_by_cycle']\n",
    "        testset = data[(data['date'] >= i) & (data['date'] < i + a_month)].reset_index(drop=True)\n",
    "        real_purchase = testset['total_purchase_amt']\n",
    "        real_redeem = testset['total_redeem_amt']\n",
    "        result.append(total_AE(result_purchase_residual, result_redeem_residual, real_purchase, real_redeem))\n",
    "    return pd.DataFrame(result).rename(columns={0: 'PureTimeSeries'})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>interval</th>\n",
       "      <th>LinearRegression</th>\n",
       "      <th>DecisionTreeRegressor</th>\n",
       "      <th>RandomForestRegressor</th>\n",
       "      <th>GradientBoostingRegressor</th>\n",
       "      <th>MLPRegressor</th>\n",
       "      <th>XGBRegressor</th>\n",
       "      <th>PureTimeSeries</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2014-08-01</td>\n",
       "      <td>180.766534</td>\n",
       "      <td>155.580904</td>\n",
       "      <td>167.712675</td>\n",
       "      <td>171.177173</td>\n",
       "      <td>171.180097</td>\n",
       "      <td>175.335191</td>\n",
       "      <td>175.933714</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2014-07-25</td>\n",
       "      <td>161.447048</td>\n",
       "      <td>159.351623</td>\n",
       "      <td>161.705225</td>\n",
       "      <td>162.192265</td>\n",
       "      <td>158.220680</td>\n",
       "      <td>163.794727</td>\n",
       "      <td>155.916275</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2014-07-18</td>\n",
       "      <td>172.796145</td>\n",
       "      <td>153.972984</td>\n",
       "      <td>170.188452</td>\n",
       "      <td>169.297901</td>\n",
       "      <td>156.933699</td>\n",
       "      <td>173.068241</td>\n",
       "      <td>169.890622</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2014-07-11</td>\n",
       "      <td>165.437181</td>\n",
       "      <td>154.819818</td>\n",
       "      <td>166.759593</td>\n",
       "      <td>161.607800</td>\n",
       "      <td>158.148139</td>\n",
       "      <td>165.108007</td>\n",
       "      <td>165.668307</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2014-07-04</td>\n",
       "      <td>150.715908</td>\n",
       "      <td>140.131046</td>\n",
       "      <td>148.064148</td>\n",
       "      <td>147.667609</td>\n",
       "      <td>148.554344</td>\n",
       "      <td>151.872781</td>\n",
       "      <td>155.458113</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>2014-06-27</td>\n",
       "      <td>161.207466</td>\n",
       "      <td>157.575158</td>\n",
       "      <td>161.413391</td>\n",
       "      <td>160.319942</td>\n",
       "      <td>145.957128</td>\n",
       "      <td>160.949321</td>\n",
       "      <td>160.758547</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>2014-06-20</td>\n",
       "      <td>146.011833</td>\n",
       "      <td>147.507212</td>\n",
       "      <td>149.043333</td>\n",
       "      <td>154.453050</td>\n",
       "      <td>142.023337</td>\n",
       "      <td>155.435619</td>\n",
       "      <td>154.336379</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     interval  LinearRegression  DecisionTreeRegressor  RandomForestRegressor  \\\n",
       "0  2014-08-01        180.766534             155.580904             167.712675   \n",
       "1  2014-07-25        161.447048             159.351623             161.705225   \n",
       "2  2014-07-18        172.796145             153.972984             170.188452   \n",
       "3  2014-07-11        165.437181             154.819818             166.759593   \n",
       "4  2014-07-04        150.715908             140.131046             148.064148   \n",
       "5  2014-06-27        161.207466             157.575158             161.413391   \n",
       "6  2014-06-20        146.011833             147.507212             149.043333   \n",
       "\n",
       "   GradientBoostingRegressor  MLPRegressor  XGBRegressor  PureTimeSeries  \n",
       "0                 171.177173    171.180097    175.335191      175.933714  \n",
       "1                 162.192265    158.220680    163.794727      155.916275  \n",
       "2                 169.297901    156.933699    173.068241      169.890622  \n",
       "3                 161.607800    158.148139    165.108007      165.668307  \n",
       "4                 147.667609    148.554344    151.872781      155.458113  \n",
       "5                 160.319942    145.957128    160.949321      160.758547  \n",
       "6                 154.453050    142.023337    155.435619      154.336379  "
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pd.merge(multi_model_eva_for_residual(), draw_eva_table(generate_evaluate_for_cycle()))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### (1) 只使用周期因子在8月份的预测效果"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [],
   "source": [
    "_, testset = split_data_underline(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [],
   "source": [
    "real_purchase = testset['total_purchase_amt']\n",
    "real_redeem = testset['total_redeem_amt']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "175.93371418259747"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "result_purchase_cycle = np.array(base[(base['date'] >= datetime.date(2014,8,1))&(base['date'] < datetime.date(2014,9,1))]['total_purchase_predicted_by_cycle'])\n",
    "result_redeem_cycle = np.array(base[(base['date'] >= datetime.date(2014,8,1))&(base['date'] < datetime.date(2014,9,1))]['total_redeem_predicted_by_cycle'])\n",
    "total_AE(result_purchase_cycle, result_redeem_cycle, real_purchase, real_redeem)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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wddr07TVWrQRWAszMzPgMWkmStElpe2PhTwM/BC4Ebp/g9tcCO/fN7wTM/pNqwzprk2xJ7/y9m1v2lSRJ2uS1Leh2qqput6Kf2wXAbkl2Bb5H7yKH3521zirgMOCrwEHAv1RVJVkF/FOSvwYeCuwGfG0BcpQkSVrS2hZ0X0nymKq6ZJIbr6o7khxF77FiWwAnVNVlSY4FVlfVKuCDwIeTrKG3Z+6Qpu9lSU6ld4HGHcDLq+pnk8xPkiRpGsxZ0CW5hN55aVsCv5fkKnqHXANUVT123ASq6gzgjFltb+yb/h/g4CF93wa8bdwcJEmSptl8e+i6XeooSZKkjWbOgq6qrgVI8kTgsqr6UTN/P3o3Ar52wTNc4pb67UckSdKmr+05dO8FHt83/+MBbdqEeD85SZKmR9snRaT67kBcVXfSvhiUJEnSAmpb0F2V5JVJ7tm8/hC4aiETkyRJUjttC7qXAk+md6+4tfQevbVioZKSJElSe/MeNk2yBfCCqjpkI+QjSZKkEc27h665We/+GyEXSZIkddD2woZ/T/L3wCn0rnAFoKq+viBZSZKkBfXYFTssdgqaoLYF3ZOb92P72grYa7LpSJIkaVStCrqq+s2FTkSSJEndtCrokrxxUHtVHTuoXZIkSRtP20OuP+6b3obeM16vmHw6kiRJGlXbQ67v7J9P8lfAqgXJSJIkTY2dX/OQxU5BtL+x8Gz3Bn5+kolIkiSpm7bn0F1C76pWgC2AZdz1ildJkiQtkrbn0D2nb/oO4MaqumMB8pEkSdKIWh1yraprgQfRe2LE84DHjLvhJA9MclaSK5v37Qass3uSrya5LMnFSX6nb9mJSa5OclHz2n3cnCRJkqZRq4KuuW3JSfSKuu2BE5O8YcxtHw2cXVW7AWc387PdBry4qn4Z2Bd4d5Jt+5b/cVXt3rwuGjMfSZKkqdT2kOuhwOOq6n8AkhwHfB146xjb3h/4jWb6JOBc4HX9K1TVt/umr0+yjt75e7eMsV1JkqRNSturXK+hd/+5DbYGvjPmth9cVTcANO9zPlQuyR7AVrO2+7bmUOy7kmw9R98VSVYnWb1+/fox05YkSVpa2u6hux24LMlZ9K52fTrwb0n+FqCqXjmoU5IvAoNuUHPMKEkm2RH4MHBYVd3ZNL8e+D69Im8lvb17A6+8raqVzTrMzMzUoHWkxfCnh5y52ClIkjYBbQu6TzavDc5t06mq9hm2LMmNSXasqhuagm3dkPXuD/wz8IaqOq8v9g3N5O1JPgS8tk1OkiRJ83nwK6brMfZtnxRx0lzLk5xeVQeOuO1VwGHAcc37pwfE3YpeIfmPVfXxWcs2FIMBDgAuHXH7kiRJm4S2e+jm0+WpEccBpyY5AvgucDBAkhngpVV1JPB84GnAg5Ic3vQ7vLmi9aNJlgEBLgJeOt5HkCRp6Xvqi5YtdgpagiZV0I18XlpV3QTsPaB9NXBkM/0R4CND+u816jYlSZI2RV2f5SpJkqQlYlIFXSYUR5IkSSOaVEH3uvlXkSRJ0kKY8xy6JJcw+Py4AFVVj6U38YUFyE2SJEktzHdRxHM2ShaSJEnqbM6Crqqu3ViJSJI0SW957kMXOwVpo2l1Dl2SJya5IMl/JflJkp8luXWhk5MkSdL82l4U8ffAocCVwL3o3Sfu7xYqKUmSJLXX+sbCVbUmyRZV9TPgQ0m+soB5SZIkqaW2Bd1tzXNVL0ryDuAG4D4Ll5YkSZLaanvI9UXNukcBPwZ2Bp63UElJkiSpvbYF3QFV9T9VdWtV/XlVvQZvaSJJkrQktC3oDhvQdvgE85AkSVJH8z0p4lDgd4Fdk6zqW3R/4KaFTEySJEntzHdRxFfoXQCxPfDOvvYfARcvVFKSJElqr82TIq4FnpTkwcCvNouuqKo7Fjo5SZIkza/tkyIOBr4GHAw8Hzg/yUHjbDjJA5OcleTK5n27Iev9LMlFzWtVX/uuSc5v+p/S3FZFkiRps9P2oog3AL9aVYdV1YuBPYA/G3PbRwNnV9VuwNnN/CD/XVW7N6/9+trfDryr6f8D4Igx85EkSZpKbQu6e1TVur75m0boO8z+wEnN9EnAAW07JgmwF3Bal/6SJEmbkrZPivhckjOBjzXzvwOcMea2H1xVNwBU1Q1Jdhiy3jZJVgN3AMdV1aeABwG39J3HtxZ42Jj5SJIkTaW2BV0B7wd+DQiwEnjifJ2SfBF4yIBFx7RNEFheVdcn+XngX5JcAtw6JMdheawAVgAsX758hE1LkiQtfW0LuqdX1euAT2xoSPLnwOvm6lRV+wxbluTGJDs2e+d2BNYNWq+qrm/er0pyLvA44HRg2yRbNnvpdgKunyOPlfSKUGZmZoYWfpIkSdNozvPgkrys2SP2iCQX972uZvz70K3if59AcRjw6QHb3y7J1s309sBTgMurqoBzgIPm6i9JkrQ5mG8P3T8BnwP+grtehfqjqrp5zG0fB5ya5Ajgu/RuiUKSGeClVXUk8Ejg/UnupFd8HldVlzf9XwecnOStwDeAD46ZjyRJ0lSa78bCPwR+CBw66Q1X1U3A3gPaVwNHNtNfAR4zpP9V9G6fIkmStFkb99YjkiRJWmQWdJIkSVPOgk6SJGnKWdBJkiRNubb3oZMkSVryHvyqmcVOYVG4h06SJGnKWdBJkiRNOQs6SZKkKWdBJ0mSNOUs6CRJkqacBZ0kSdKUs6CTJEmachZ0kiRJU86CTpIkacpZ0EmSJE05CzpJkqQpZ0EnSZI05RatoEvywCRnJbmyed9uwDq/meSivtf/JDmgWXZikqv7lu2+8T+FJEnS4lvMPXRHA2dX1W7A2c38XVTVOVW1e1XtDuwF3AZ8oW+VP96wvKou2ihZS5IkLTGLWdDtD5zUTJ8EHDDP+gcBn6uq2xY0K0mSpCmzmAXdg6vqBoDmfYd51j8E+NistrcluTjJu5JsvRBJSpIkLXVbLmTwJF8EHjJg0TEjxtkReAxwZl/z64HvA1sBK4HXAccO6b8CWAGwfPnyUTYtSZK05C1oQVdV+wxbluTGJDtW1Q1NwbZujlDPBz5ZVT/ti31DM3l7kg8Br50jj5X0ij5mZmZqlM8gSZK01C3mIddVwGHN9GHAp+dY91BmHW5tikCShN75d5cuQI6SJElL3mIWdMcBT09yJfD0Zp4kM0mO37BSkl2AnYEvzer/0SSXAJcA2wNv3Qg5S5IkLTkLesh1LlV1E7D3gPbVwJF989cADxuw3l4LmZ8kSdK08EkRkiRJU86CTpIkacpZ0EmSJE05CzpJkqQpZ0EnSZI05SzoJEmSppwFnSRJ0pSzoJMkSZpyFnSSJElTzoJOkiRpylnQSZIkTTkLOkmSpClnQSdJkjTlLOgkSZKmnAWdJEnSlLOgkyRJmnIWdJIkSVNu0Qq6JAcnuSzJnUlm5lhv3yTfSrImydF97bsmOT/JlUlOSbLVxslckiRpaVnMPXSXAs8DvjxshSRbAO8BngU8Cjg0yaOaxW8H3lVVuwE/AI5Y2HQlSZKWpkUr6Krqiqr61jyr7QGsqaqrquonwMnA/kkC7AWc1qx3EnDAwmUrSZK0dC31c+geBlzXN7+2aXsQcEtV3TGrfaAkK5KsTrJ6/fr1C5asJEnSYthyIYMn+SLwkAGLjqmqT7cJMaCt5mgfqKpWAisBZmZmCmDZy17YYvOSJElL34IWdFW1z5gh1gI7983vBFwP/CewbZItm710G9olSZI2O0v9kOsFwG7NFa1bAYcAq6qqgHOAg5r1DgPa7PGTJEna5CzmbUuem2Qt8CTgn5Oc2bQ/NMkZAM3et6OAM4ErgFOr6rImxOuA1yRZQ++cug9u7M8gSZK0FKS3s2vzMTMzU6tXr17sNCRJkuaV5MKqGnq/3g2W+iFXSZIkzcOCTpIkacpZ0EmSJE05CzpJkqQpZ0EnSZI05Ta7q1yTrAeunWe17endvHhcxjGOcYxjHOMYxzjjxPm5qlo2b6Sq8jXrBaw2jnGMYxzjGMc4xpmGOFXlIVdJkqRpZ0EnSZI05SzoBltpHOMYxzjGMY5xjDMlcTa/iyIkSZI2Ne6hkyRJmnIWdJIkSVPOgq5PkhOSrEty6Rgxdk5yTpIrklyW5A87xtkmydeSfLOJ8+ddc2ribZHkG0k+O0aMa5JckuSiJKvHiLNtktOS/Efzc3pShxiPaPLY8Lo1yas65vPq5md8aZKPJdmmY5w/bGJcNmoug8ZekgcmOSvJlc37dh1iHNzkc2eSmTFy+cvm3+viJJ9Msu0Ysd7SxLkoyReSPLRLnL5lr01SSbbvkMubk3yvbxw9u2suSV6R5FvNz/sdXeIkOaUvl2uSXDRfnDli7Z7kvA3/X5Ps0SHGryT5avP//jNJ7t8il4G/AzuM52FxRhrTc8QZaUzPEWek8TwsTt/ytuN5WD4jjem58hllTM+Rz0hjeo44o47nYXFGGtMZ8l2cZNck5zfj+ZQkW3WMc1SSNW3+zec1qfufbAov4GnA44FLx4ixI/D4Zvp+wLeBR3WIE+C+zfQ9gfOBJ46R12uAfwI+O0aMa4DtJ/BzPgk4spneCth2zHhbAN+nd/PFUfs+DLgauFczfypweIc4jwYuBe4NbAl8EdhtnLEHvAM4upk+Gnh7hxiPBB4BnAvMjJHLM4Atm+m3z5fLPLHu3zf9SuB9XeI07TsDZ9K7WficY3NILm8GXjviv/WgOL/Z/Jtv3czv0PUz9S1/J/DGMXL6AvCsZvrZwLkdYlwA/Hoz/RLgLS1yGfg7sMN4HhZnpDE9R5yRxvQccUYaz8PidBjPw/IZaUzPEWekMT3X5xplTM+Rz6jjeVickcY0Q76L6X1XHNK0vw94Wcc4jwN2YQLfr+6h61NVXwZuHjPGDVX19Wb6R8AV9IqGUeNUVf1XM3vP5tXpCpYkOwG/BRzfpf8kNX8NPQ34IEBV/aSqbhkz7N7Ad6pqvieADLMlcK8kW9IryK7vEOORwHlVdVtV3QF8CXhu285Dxt7+9IpfmvcDRo1RVVdU1bfa5jFHnC80nwvgPGCnMWLd2jd7H1qM6zn+b74L+JMxY4xkSJyXAcdV1e3NOuvGySdJgOcDHxsjpwI27H14APOM6yExHgF8uZk+CziwRS7DfgeOOp4Hxhl1TM8RZ6QxPUeckcbzPN8Ro4znSX3XDIsz0pieL5+2Y3qOOKOO52FxRhrTc3wX7wWc1rS3Gc8D41TVN6rqmrn6tmVBt4CS7EKv+j6/Y/8tmt3T64CzqqpTHODd9H5J3Nmx/wYFfCHJhUlWdIzx88B64EPpHQI+Psl9xszrEFp+8c1WVd8D/gr4LnAD8MOq+kKHUJcCT0vyoCT3pvcX5M5dcurz4Kq6ocnzBmCHMeNNykuAz40TIMnbklwHvAB4Y8cY+wHfq6pvjpMLcFRzyOyEzHMYcA6/CDy1OQTzpSS/OmZOTwVurKorx4jxKuAvm5/zXwGv7xDjUmC/ZvpgRhzTs34Hdh7P4/4ubRFnpDE9O07X8dwfZ5zxPOBzdRrTs+J0HtNDfs4jj+lZcTqP51lxRh7Ts7+Lge8At/T9QbCWFsX0BL/TB7KgWyBJ7gucDrxq1l9wrVXVz6pqd3p/Oe6R5NEd8ngOsK6qLuySwyxPqarHA88CXp7kaR1ibEnvsM57q+pxwI/pHX7ppDlvYT/g4x37b0dvz8GuwEOB+yR54ahxquoKeodtzgI+D3wTuGPOTlMoyTH0PtdHx4lTVcdU1c5NnKM65HFv4Bg6FoN93gs8HNidXkH/zo5xtgS2o3cI5Y+BU5s9El0dSsc/Uvq8DHh183N+Nc1e8RG9hN7/9QvpHbb6SduOk/gduDHijDqmB8XpMp774zTb7zSeB+TTaUwPiNNpTM/x7zXSmB4Qp9N4HhBn5DE9+7uY3hGZu602apwu3+lzsaBbAEnuSW8AfbSqPjFuvOaQ5LnAvh26PwXYL8k1wMnAXkk+0jGP65v3dcAn6Q3sUa0F1vb9ZXIavQKvq2cBX6+qGzv23we4uqrWV9VPgU8AT+4SqKo+WFWPr6qn0Tt0Nc7eFYAbk+wI0LzPexhvISU5DHgO8IKqmtQNLP+JFofxBng4vSL8m83Y3gn4epKHjBKkqm5sfsneCXyAbmMaeuPPI/S+AAAEd0lEQVT6E81hla/R2xve6QTn5tD/84BTOuaywWH0xjP0/uAZ+bNV1X9U1TOq6gn0voy/06bfkN+BI4/nSf0uHRZn1DHdIp9W43lAnE7jeVA+Xcb0kM818pie4+c80pgeEmfk8Tzk59NpTDd9N3wXPxHYtvlc0Pv3an2qzpjf6UNZ0E1Y8xfMB4Erquqvx4izLM1VV0nuRa/w+I9R41TV66tqp6rahd6hyX+pqpH3QCW5T5L7bZimd0LxyFcDV9X3geuSPKJp2hu4fNQ4fcbdk/Fd4IlJ7t382+1N71yLkSXZoXlfTu+X17h7WFbR+yVG8/7pMeN1lmRf4HXAflV125ixduub3Y9u4/qSqtqhqnZpxvZaeidAf3/EXHbsm30uHcZ041P0zqkhyS/Su9jnPzvG2gf4j6pa27H/BtcDv95M70WHPzD6xvQ9gDfQO/l7vj7DfgeONJ4n+Lt0YJxRx/QccUYaz4PidBnPc+Qz0pie4+c80pie59+r9ZieI85I43mOn89IY3rId/EVwDnAQc1qbcbzRL7T51RjXFGxqb3ofQHfAPyU3n+oIzrE+DV6u14vBi5qXs/uEOexwDeaOJfS8mq3eWL+Bh2vcqV37ts3m9dlwDFj5LE7sLr5bJ8CtusY597ATcADxvy5/HnzH+tS4MM0V3V1iPOv9IrTbwJ7jzv2gAcBZ9P7xXU28MAOMZ7bTN8O3Aic2TGXNcB1fWN63itT54h1evOzvhj4DL0Ty0eOM2v5Ncx/VeCgXD4MXNLksgrYseNn2gr4SPO5vg7s1fUzAScCL53A+Pk14MJmPJ4PPKFDjD+kd3Xgt4HjoPd0oXniDPwd2GE8D4sz0pieI85IY3qOOCON52FxOoznYfmMNKbniDPSmJ7rc40ypufIZ9TxPCzOSGOaId/F9L4Tv9aMo48zz/fGHHFe2YznO+gVrceP8n+//+WjvyRJkqach1wlSZKmnAWdJEnSlLOgkyRJmnIWdJIkSVPOgk6SJGnKWdBJUktJ3pzktXMsPyDJozZmTpIEFnSSNEkHABZ0kjY670MnSXNonvX5Yno3oV1P7+amPwRW0Lv56hrgRfRumP3ZZtkP+d9HQL0HWAbcBvx+VU327vCShAWdJA2V5An07nK/J72HlX+d3qOCPlRVNzXrvBW4sar+LsmJ9J7Gclqz7Gx6d8i/MsmewF9U1V4b/5NI2tRtOf8qkrTZeirwyWqe9ZlkVdP+6KaQ2xa4L3Dm7I5J7gs8Gfh477GSAGy94BlL2ixZ0EnS3AYdxjgROKCqvpnkcHrPSZ7tHsAtVbX7wqUmST1eFCFJw30ZeG6SeyW5H/DbTfv9gBuS3BN4Qd/6P2qWUVW3AlcnORggPb+y8VKXtDnxHDpJmkPfRRHXAmuBy4EfA3/StF0C3K+qDk/yFOADwO3AQcCdwHuBHYF7AidX1bEb/UNI2uRZ0EmSJE05D7lKkiRNOQs6SZKkKWdBJ0mSNOUs6CRJkqacBZ0kSdKUs6CTJEmachZ0kiRJU+7/AWeQKKCVk1EAAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "trainset, testset = split_data_underline(data)\n",
    "visual(result_purchase_cycle, result_redeem_cycle, testset)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### (2) 只使用周期因子+预测残差在8月份的预测效果（比单纯用因子好）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [],
   "source": [
    "trainset_purchase, testset_purchase = split_data_underline(data_purchase)\n",
    "result_purchase_rate = generate_under_result(data_purchase, [x for x in data_purchase.columns\n",
    "                                                           if x not in ['total_purchase_amt','total_redeem_amt','date']], \n",
    "                                           target='total_purchase_amt')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [],
   "source": [
    "trainset_redeem, testset_redeem = split_data_underline(data_redeem)\n",
    "result_redeem_rate = generate_under_result(data_redeem, [x for x in data_redeem.columns\n",
    "                                                           if x not in ['total_purchase_amt','total_redeem_amt','date']], \n",
    "                                           target='total_redeem_amt')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "182.628220303351"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "total_AE(result_purchase_rate * result_purchase_cycle, result_redeem_rate * result_redeem_cycle, real_purchase, real_redeem)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "trainset, testset = split_data_underline(data)\n",
    "visual(result_purchase_rate * result_purchase_cycle, result_redeem_rate * result_redeem_cycle, testset)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### (3) 生成线上结果"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [],
   "source": [
    "trainset_purchase, testset_purchase = split_data_online(data_purchase)\n",
    "result_purchase_rate = generate_online_result(data_purchase, [x for x in data_purchase.columns\n",
    "                                                           if x not in ['total_purchase_amt','total_redeem_amt','date']], \n",
    "                                           target='total_purchase_amt')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [],
   "source": [
    "trainset_redeem, testset_redeem = split_data_online(data_redeem)\n",
    "result_redeem_rate = generate_online_result(data_redeem, [x for x in data_redeem.columns\n",
    "                                                           if x not in ['total_purchase_amt','total_redeem_amt','date']], \n",
    "                                           target='total_redeem_amt')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 修正一下预测结果试试\n",
    "result_purchase_rate = result_purchase_rate / np.mean(result_purchase_rate)\n",
    "result_redeem_rate = result_redeem_rate / np.mean(result_redeem_rate)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [],
   "source": [
    "result_purchase_cycle = np.array(base[(base['date'] >= datetime.date(2014,9,1))&(base['date'] < datetime.date(2014,10,1))]['total_purchase_predicted_by_cycle'])\n",
    "result_redeem_cycle = np.array(base[(base['date'] >= datetime.date(2014,9,1))&(base['date'] < datetime.date(2014,10,1))]['total_redeem_predicted_by_cycle'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [],
   "source": [
    "result_purchase_residual = result_purchase_rate * result_purchase_cycle"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [],
   "source": [
    "result_redeem_residual = result_redeem_rate * result_redeem_cycle"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 月份周期因子线上结果（135）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw_result(result_purchase_cycle, result_redeem_cycle, testset_redeem)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 残差处理后结果"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw_result(result_purchase_residual, result_redeem_residual, testset_redeem)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [],
   "source": [
    "normalize_upload_file(result_purchase_residual, result_redeem_residual, testset_redeem).to_csv('20190622_residual_liner.csv',index=False,header=None)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 仅用与修正节假日的结果"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [],
   "source": [
    "result_score135 = pd.read_csv('Result/timeseries0606.csv',header=None)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [],
   "source": [
    "result_residual = normalize_upload_file(result_purchase_residual, result_redeem_residual, testset_redeem).reset_index(drop=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [],
   "source": [
    "result_residual['date'] = result_residual['date'].astype(int)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [],
   "source": [
    "days_need_to_change = [\n",
    "    20140906,\n",
    "    20140907,\n",
    "    20140908,\n",
    "    20140928\n",
    "]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [],
   "source": [
    "for index,row in result_score135.iterrows():\n",
    "    if row[0] in days_need_to_change:\n",
    "        result_score135.loc[index, 1] =  result_residual.loc[index, 'total_purchase_amt']\n",
    "        result_score135.loc[index, 2] =   result_residual.loc[index, 'total_redeem_amt']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [],
   "source": [
    "result_score135.to_csv('result135_fixed_by_residual_0621.csv',index=False,header=None)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
